4100268716448 has 192 divisors, whose sum is σ = 11006929866240. Its totient is φ = 1336152609792.

The previous prime is 4100268716431. The next prime is 4100268716507. The reversal of 4100268716448 is 8446178620014.

It is a self number, because there is not a number n which added to its sum of digits gives 4100268716448.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 530912715 + ... + 530920437.

It is an arithmetic number, because the mean of its divisors is an integer number (57327759720).

Almost surely, 2^{4100268716448} is an apocalyptic number.

4100268716448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4100268716448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503464933120).

4100268716448 is an abundant number, since it is smaller than the sum of its proper divisors (6906661149792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4100268716448 is a wasteful number, since it uses less digits than its factorization.

4100268716448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8419 (or 8411 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 4100268716448 in words is "four trillion, one hundred billion, two hundred sixty-eight million, seven hundred sixteen thousand, four hundred forty-eight".